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Finding the Third Proportional to 171,806.06 and 187,380.84

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Solution

The third proportional to 171,806.06 and 187,380.84 is: 204,367.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,806.06 : 187,380.84 = 187,380.84 : x
  2. Step 2: Convert to fraction form
    171,806.06/187,380.84 = 187,380.84/x
  3. Step 3: Cross multiply
    171,806.06x = 187,380.84 × 187,380.84
  4. Step 4: Simplify right side
    171,806.06x = 35,111,580,604.46
  5. Step 5: Solve for x
    x = 35,111,580,604.46/171,806.06
  6. Step 6: Final answer
    x = 204,367.53

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.